Solve N=2*5^3*x^4

$$N = 2 \times 5 ^ { 3 } \times x ^ { 4 }$$

Solve for N

$$N=250x^{4}$$

Solution Steps

Calculate 5 to the power of 3 and get 125.

$$N=2\times 125x^{4}$$

Multiply 2 and 125 to get 250.

$$N=250x^{4}$$

Solve for x (complex solution)

$$x=\frac{250^{\frac{3}{4}}i\sqrt[4]{N}}{250}$$

$$x=\frac{250^{\frac{3}{4}}\sqrt[4]{N}}{250}$$

$$x=-\frac{250^{\frac{3}{4}}\sqrt[4]{N}}{250}$$

$$x=-\frac{250^{\frac{3}{4}}i\sqrt[4]{N}}{250}$$

Solve for x

$$x=\frac{\sqrt[4]{40N}}{10}$$

$$x=-\frac{\sqrt[4]{40N}}{10}\text{, }N\geq 0$$